Hamiltonian Kneser Graphs

The Kneser graph K(n,k) has as vertices the k-subsets of {1, 2, ..., n}. Two vertices are adjacent if the corresponding k-subsets are disjoint. It was recently proved by the first author [2] that Kneser graphs have Hamilton cycles for n >= 3k. In this note, we give a short proof for the case when k divides n.

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Received September 14, 1999

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Chen, YC., Füredi, Z. Hamiltonian Kneser Graphs. Combinatorica 22, 147–149 (2002). https://doi.org/10.1007/s004930200007

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  • AMS Subject Classification (2000) Classes:  05C45; 05C38